Class 11 Mathematics · Chapter 1 · Test 1
Complex Number Operations
36 MCQs This test covers the definition of complex numbers, powers of i, conjugate, modulus, Argand diagram and field properties. It also covers addition, multiplication, multiplicative inverse, equality, square roots and the numericals from Exercises 1.1 and 1.2.
36 questions · 30 min · 36 marks
Sample questions
The first 5 of 36. Try each one, then tap to see the answer.
Question 1
The value of i^2 is:
- A1
- B-1
- Ci
- D-i
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Answer: B
By definition i = √-1 so i^2 = -1.
Question 2
The value of i^15 is:
- A1
- Bi
- C-i
- D-1
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Answer: C
15 = 4(3) + 3 so i^15 = i^3 = -i.
Question 3
The value of i^100 is:
- A1
- B-1
- Ci
- D-i
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Answer: A
100 is a multiple of 4 so i^100 = 1.
Question 4
The additive identity in C is:
- A(1,0)
- B(0,1)
- C(0,0)
- D(-1,0)
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Answer: C
(a,b) + (0,0) = (a,b).
Question 5
The multiplicative identity in C is:
- A(0,0)
- B(1,0)
- C(0,1)
- D(1,1)
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Answer: B
(a,b)(1,0) = (a,b).
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